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Search results for: MATHIEU FUNCTIONS
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Approximate methods for functional differential equations
PublicationW pracy przedstawione są dwie klasy przybliżonych metod rozwiązywania równań różniczkowo funkcyjnych ze szczególnym uwzględnieniem równań różniczkowych z opóźnieniem. Do pierwszej klasy należą metody bezpośrednie reprezentowane w przedkładanej rozprawie przez dwukrokowe metody Rungego-Kutty. Należą one do klasy ogólnych metod liniowych rozwiązywania równań różniczkowych. Druga klasę przybliżonych metod rozwiązywania równań różniczkowo...
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Nanocrystalline cathode functional layer for SOFC
PublicationRecently, it was shown that thin functional layers introduced between an electrolyte and cathode might improve cathode performance. However, the mechanism of this improvement still needs analysis. In this paper, a thin (∼140 nm), spin-coated perovskite layer (La0.6Sr0.4Co0.2Fe0.8O3-δ) was placed between a cathode (La0.6Sr0.4Co0.2Fe0.8O3-δ) and an electrolyte (Ce0.8Gd0.2O2-δ) and the effects of this investigated. The microstructure...
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Security aspects in functional safety analysis
PublicationA security level of distributed control and protection system may have a significant impact on the results of functional safety analysis. However, the issue of integrating the safety and security aspects is difficult and usually is neglected during the functional safety analysis. This article presents a method of functional safety analysis which takes into consideration a concept of integrating these two aspects. It is based on...
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Functional differential equations of second order.
PublicationPraca dotyczy problemu brzegowego dla równań różniczkowo-funkcyjnych 2-go rzędu. Stosując metodę kwasilinearyzacji pokazano, że odpowiednio skonstruowane ciągi monotoniczne są zbieżne do jedynego rozwiązania danego problemu i ustalono szybkość tej zbieżności. Pokazano również pewną relację pomiędzy rozwiązaniami odpowiednich liniowych równań różniczkowo-funkcyjnych z warunkami brzegowymi.
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Multislice CT in functional cardiac exploration.
PublicationArtykuł przedstawia analizę oraz omówienie wykonanych badań w zastosowaniu tomografia wielorzędowej w diagnostyce czynnościowej serca. Pokazano zarówno aspekty technicznej metody jak i możliwości zastosowań medycznych.
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Modal Analysis of Planar Elliptical Resonator Deposited on Unshielded Dielectric Slab
PublicationModal analysis of isolated open planar elliptical patch placed on dielectric slab is presented in the paper. It applies concept of Illuminating Modes which is formulated for the case of two-side opened structure. The current on patch is expanded in basis functions in form of Mathieu radial and angular functions. The spectrum of excited modes for exemplary planar resonators is presented and discussed using the concept of power of...
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Current rectification in molecular junctions produced by local potential fields
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Concept of Multifactor Method and Non-Functional Requirements Solution to Increase Resilience through Functional Safety with Cybersecurity Analysis
PublicationIn the process of designing safety systems, an integrated approach in safety and cybersecurity analysis is necessary. The paper describes a new technique of increasing resilience through integrated analysis of functional safety and cybersecurity. It is a modeling methodology based on the combination of the multifactor method utilizing modified risk graphs, used previously for Safety Integrity Level (SIL) assessment, and the Non-Functional...
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Estimation of the River Flow Synchronicity in the Upper Indus River Basin Using Copula Functions
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Perturbation of cellular functions by topoisomerase II inhibitors: all roads lead to cell death?
PublicationPraca przeglądowa opisuje jakie funkcje mogą ulec zahamowaniu/zmianie pod wpływem działania inhibitorów topoizomerazy typu II w komórkach nowotworowych. W szczególności dyskutujemy jakie zmiany w szlakach sygnalizacji wewnątrzkomórkowej mogą prowadzić do zahamowania wzrostu oraz indukcji różnych rodzajów śmierci komórkowej i czy rodzaj śmierci komórkowej może decydować o skuteczności leków przeciwnowotoworowych, które hamują aktywność...
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Model angular distribution functions in CA3, CA4 and CA6 structural units of glassy systems
PublicationMetodą Monte Carlo wyliczono funkcje rozkładu kątów pomiędzykrawędziami w losowo deformowanych jednostkach strukturalnychCA_3, CA_4 i CA_6, gdzie C oznacza centralny kation,a A - wierzchołkowy anion. Uzyskane dane mogą być wykorzystanejako dane referencyjne do ilościowej oceny stopnia nieporządkuw materiałach symulowanych numerycznie, głównie szkłachtlenkowych. W pracy podano przykłady takiego zastosowania.
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Efficient parallel algorithms in global optimization of potential energy functions for peptides, proteins, and crystals
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CyberEye: New Eye-Tracking Interfaces for Assessment and Modulation of Cognitive Functions beyond the Brain
PublicationThe emergence of innovative neurotechnologies in global brain projects has accelerated research and clinical applications of BCIs beyond sensory and motor functions. Both invasive and noninvasive sensors are developed to interface with cognitive functions engaged in thinking, communication, or remembering. The detection of eye movements by a camera offers a particularly attractive external sensor for computer interfaces to monitor,...
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Drawing Functions and NLP Algorithm Steps for Optimization Problems by using O&G Software.
PublicationPraca opisuje program służący do wizualizacji problemów programowania nieliniowego (funkcja celu, ograniczenia) oraz pracy rozwiązującego je algorytmu. Wizualizacja może być realizowana w przestrzeni dwu- lub trójwymiarowej.
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CLINICAL PHYSIOLOGY AND FUNCTIONAL IMAGING
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Journal of Nonlinear Functional Analysis
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Functional Foods in Health and Disease
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FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
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Nonlinear Functional Analysis and Applications
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Methods of Functional Analysis and Topology
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Journal of Structural and Functional Genomics
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
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Journal of Functional Morphology and Kinesiology
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Fast Basis Function Estimators for Identification of Nonstationary Stochastic Processes
PublicationThe problem of identification of a linear nonsta-tionary stochastic process is considered and solved using theapproach based on functional series approximation of time-varying parameter trajectories. The proposed fast basis func-tion estimators are computationally attractive and yield resultsthat are better than those provided by the local least squaresalgorithms. It is shown that two...
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Implementation of FDTD-Compatible Green's Function on Graphics Processing Unit
PublicationIn this letter, implementation of the finite-difference time domain (FDTD)-compatible Green's function on a graphics processing unit (GPU) is presented. Recently, closed-form expression for this discrete Green's function (DGF) was derived, which facilitates its applications in the FDTD simulations of radiation and scattering problems. Unfortunately, implementation of the new DGF formula in software requires a multiple precision...
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The function of the sculpture in public space and its reception occupants of the city
PublicationSculpture has been with people for thousands of years. Its destiny, subject and scale have changed over the centuries. Public art, along with sculpture, began to appear in a new form (not only to commemorate important figures and events) only in the 1960s. This paper aims to answer what functions are currently performed by the sculptures located in a public space and how they are perceived by the inhabitants of the city.
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A review of guidance on immunization in persons with defective or deficient splenic function
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SPARC, a Novel Regulator of Vascular Cell Function in Pulmonary Hypertension
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On the derivative of the Legendre function of the first kind with respect to its degree
PublicationPokazano, że pochodna po indeksie funkcji Legendre'a pierwszego rodzaju, obliczona dla całkowitej wartości indeksu, może być wyrażona przez funkcje elementarne. Skonstruowano kilka jawnych reprezentacji tej pochodnej. Zaprezentowano przykłady zastosowań otrzymanych wzorów.
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Thyroid Peroxidase as an Autoantigen in Hashimoto’s Disease: Structure, Function, and Antigenicity
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Description of the hydrodynamic pressure field function around the ship hull
PublicationW artykule przedstawiono metodę aproksymacji pola hydrodynamicznego okrętu, wykorzystując pole obliczone metodą elementów skończonych. Punkty kontrolne umieszczono w środku paneli rozmieszczonych na kadłubie statku, na powierzchni dna morskiego oraz na powierzchni swobodnej; w p-ktach tych znajdują się osobliwości w postaci źródeł, upustów i/lub dipoli. Przedstawione wyniki obliczeń zostały uzyskane przy użyciu tych pierwszych...
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Fast implementation of FDTD-compatible green's function on multicore processor
PublicationIn this letter, numerically efficient implementation of the finite-difference time domain (FDTD)-compatible Green's function on a multicore processor is presented. Recently, closed-form expression of this discrete Green's function (DGF) was derived, which simplifies its application in the FDTD simulations of radiation and scattering problems. Unfortunately, the new DGF expression involves binomial coefficients, whose computations...
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The agr function and polymorphism: Impact on Staphylococcus aureus susceptibility to photoinactivation
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Contribution of small heat shock proteins to muscle development and function
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Structure and function of natural proteins for water transport: general discussion
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The optimisation of induction heating system based on multiquadric function approximation
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Distinct Cytokine Patterns in Different States of Kidney Allograft Function
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Cardiovascular Function in Obstructive Sleep Apnea Patients with Controlled Hypertension
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The Concept of Using the Decision-Robustness Function in Integrated Navigation Systems
PublicationThe diversity and non-uniformity of the positioning systems available in maritime navigation systems often impede the watchkeeping officer in the selection of the appropriate positioning system, in particular, in restricted basins. Thus, it is necessary to introduce a mathematical apparatus to suggest, in an automated manner, which of the available systems should be used at the given moment of a sea trip. Proper selection of the...
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THERMOMECHANICAL PERFORMANCE OF FLEXIBLE POLYURETHANE FOAMS AS A FUNCTION OF THE ISOCYANATE INDEX
PublicationPolyurethane foams are very versatile materials applied in different branches of industry. Their popularity is attributed, among others, to the flexibility in engineering their mechanical performance by the adjustment of their formulations. One of the most crucial factors is the isocyanate index, determining the ratio between the free hydroxyl and isocyanate groups present in the polyurethane system. By the change of this ratio,...
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Validation of dynamic electrochemical impedance spectrograms using autocorrelation function
PublicationValidation of impedance data is essential for checking the reliability of experimental data. Kramers – Kronig transformation is used to verify data obtained from classical Electrochemical Impedance Spectroscopy (EIS) measurements. Data obtained from Dynamic Electrochemical Impedance Spectroscopy (DEIS) could be validated in the same way, but in this case, there is no information about internal consistency between every single spectrum...
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Tuning the work function of graphite nanoparticles via edge termination
PublicationGraphite nanoparticles are important in energy materials applications such as lithium-ion batteries (LIBs), supercapacitors and as catalyst supports. Tuning the work function of the nanoparticles allows local control of lithiation behaviour in LIBs, and the potential of zero charge of electrocatalysts and supercapacitors. Using large scale density functional theory (DFT) calculations, we find that the surface termination of multilayer...
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Regularized Local Basis Function Approach to Identification of Nonstationary Processes
PublicationThe problem of identification of nonstationary stochastic processes (systems or signals) is considered and a new class of identification algorithms, combining the basis functions approach with local estimation technique, is described. Unlike the classical basis function estimation schemes, the proposed regularized local basis function estimators are not used to obtain interval approximations of the parameter trajectory, but provide...
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An Analysis of Multistrip Line Configuration on Elliptical Cylinder
PublicationA configuration of multistrip lines mounted on a multilayer dielectric coated elliptic cylinder is investigated in this paper. A full-wave analysis and a moment-method calculation are employed. The analysis is carried out considering the expansion of the field as a series of Mathieu functions. Both open and shielded lines are considered in the analysis. Propagation coefficients and characteristic impedances are calculated for the...
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Validation of atmospheric aerosols sampling in equivalent fractions
PublicationPhysical properties and chemical composition of atmospheric aerosols are of extreme importance, in many fields of interest, namely the Environment even with legal implications. Atmospheric sampling poses inherent problems with consequent demands on sampling optimisation, with sampling strategies requiring validation. In this work a study was conducted aiming at validating the collection of atmospheric aerosols in equivalent fractions....
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Integrated functional safety and cyber security analysis
PublicationThe chapter is devoted some important issues of the functional safety analysis, in particular the safety integrity level (SIL) verification of safety functions to be implemented within the distributed control and protection systems with regard to security aspects. A method based on quantitative and qualitative information is proposed for the SIL (IEC 61508, 61511) verification with regard of the evaluation assurance levels (EAL)...
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First-order impulsive functional differential equations
PublicationPraca dotyczy problemów istnienia rozwiązań i kwazi-rozwiązań dla równań różniczkowych rzędu pierwszego z impulsami i nieliniowymi warunkami brzegowymi. Operator występujący w zagadnieniu jest typu opóźnionego. Badano również nierówności różniczkowe z impulsami związane z zagadnieniem wyjściowym. Otrzymane wyniki zilustrowano na przykładach.
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Functional Safety Analysis including Human Factors
PublicationIn this paper selected aspects of human factors are discussed that should be taken into account during the design of safety-related functions for a complex hazardous installation and its protections. The layer of protection analysis (LOPA) methodology is used for simplified risk analysis based on defined accident scenarios. To control the risk the safety instrumented functions (SIFs) are identified and their safety integrity levels...
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Functional safety analysis including human factors
PublicationThe article addresses selected aspects of human factors that should be taken into account during the design of safety-related functions for a complex hazardous installation and its protections. In such installations the layer of protection analysis (LOPA) methodology is often used for simplified risk analysis based on defined accident scenarios. To control the risk the safety instrumented functions (SIFs) are identified and their...
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Chemical, biological and functional aspects of food lipids
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